aerocaps.geom.curves.PCurve2D#

class PCurve2D(name: str, construction: bool = False)[source]#

Two-dimensional abstract parametric curve class

__init__(name: str, construction: bool = False)#

Abstract geometry class

Parameters:

name (str) – Name of the geometric object. May be re-assigned a unique name when added to a GeometryContainer
construction (bool) – Whether this is a geometry used only for construction of other geometries. If True, this geometry will not be exported or plotted. Default: False

Methods

`d2cdt2`(t)	Evaluates the second derivative of the curve with respect to \(t\)
`dcdt`(t)	Evaluates the first derivative of the curve with respect to \(t\)
`evaluate`(t)	Evaluates the line at one or more \(t\)-values
`evaluate_pcurvedata`(t)	Evaluates a verbose set of parametric curve data as a class based on an input parameter value or vector
`evaluate_point2d`(t)	Evaluates the line at one or more \(t\)-values and returns a single point object or list of point objects

Attributes

abstractmethod d2cdt2(t: float) → ndarray[source]#

Evaluates the second derivative of the curve with respect to \(t\)

Parameters:: t (float or int or numpy.ndarray) – Either a single \(t\)-value, a number of evenly spaced \(t\)-values between 0 and 1, or a 1-D array of \(t\)-values
Returns:: If \(t\) is a float, the output is a 1-D array containing two elements: the \(x\)- and \(y\)-components of the second derivative. Otherwise, the output is a 2-D array of size \(\text{len}(t) \times 2\)
Return type:: numpy.ndarray

abstractmethod dcdt(t: float) → ndarray[source]#

Evaluates the first derivative of the curve with respect to \(t\)

Parameters:: t (float or int or numpy.ndarray) – Either a single \(t\)-value, a number of evenly spaced \(t\)-values between 0 and 1, or a 1-D array of \(t\)-values
Returns:: If \(t\) is a float, the output is a 1-D array containing two elements: the \(x\)- and \(y\)-components of the first derivative. Otherwise, the output is a 2-D array of size \(\text{len}(t) \times 2\)
Return type:: numpy.ndarray

abstractmethod evaluate(t: float) → ndarray[source]#

Evaluates the line at one or more \(t\)-values

Parameters:: t (float or int or numpy.ndarray) – Either a single \(t\)-value, a number of evenly spaced \(t\)-values between 0 and 1, or a 1-D array of \(t\)-values
Returns:: If t is a float, the output is a 1-D array with two elements: the values of \(x\) and \(y\). Otherwise, the output is an array of size \(\text{len}(t) \times 2\)
Return type:: numpy.ndarray

abstractmethod evaluate_pcurvedata(t: float) → PCurveData2D[source]#

Evaluates a verbose set of parametric curve data as a class based on an input parameter value or vector

Parameters:: t (float or int or numpy.ndarray) – Either a single \(t\)-value, a number of evenly spaced \(t\)-values between 0 and 1, or a 1-D array of \(t\)-values
Returns:: Parametric curve information, including derivative and curvature data
Return type:: PCurveData2D

abstractmethod evaluate_point2d(t: float) → Point2D[source]#

Evaluates the line at one or more \(t\)-values and returns a single point object or list of point objects

Parameters:: t (float or int or numpy.ndarray) – Either a single \(t\)-value, a number of evenly spaced \(t\)-values between 0 and 1, or a 1-D array of \(t\)-values
Returns:: If t is a float, the output is a single point object. Otherwise, the output is a list of point objects
Return type:: Point2D or List[Point2D]